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CHIRAL LIMIT OF STRONGLY COUPLED LATTICE GAUGE THEORIES

Publication ,  Journal Article
Adams, DH; Chandrasekharan, S
Published in: Nucl. Phys. B
2003

We construct a new and efficient cluster algorithm for updating strongly coupled U(N) lattice gauge theories with staggered fermions in the chiral limit. The algorithm uses the constrained monomer-dimer representation of the theory and should also be of interest to researchers working on other models with similar constraints. Using the new algorithm we address questions related to the chiral limit of strongly coupled U(N) gauge theories beyond the mean field approximation. We show that the infinite volume chiral condensate is non-zero in three and four dimensions. However, on a square lattice of size $L$ we find $\sum_x \sim L^{2-\eta}$ for large $L$ where $\eta = 0.420(3)/N + 0.078(4)/N^2$. These results differ from an earlier conclusion obtained using a different algorithm. Here we argue that the earlier calculations were misleading due to uncontrolled autocorrelation times encountered by the previous algorithm.

Duke Scholars

Published In

Nucl. Phys. B

Publication Date

2003

Volume

662

Start / End Page

220 / 246

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics
 

Citation

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Adams, D. H., & Chandrasekharan, S. (2003). CHIRAL LIMIT OF STRONGLY COUPLED LATTICE GAUGE THEORIES. Nucl. Phys. B, 662, 220–246.
Adams, D. H., and S. Chandrasekharan. “CHIRAL LIMIT OF STRONGLY COUPLED LATTICE GAUGE THEORIES.” Nucl. Phys. B 662 (2003): 220–46.
Adams DH, Chandrasekharan S. CHIRAL LIMIT OF STRONGLY COUPLED LATTICE GAUGE THEORIES. Nucl Phys B. 2003;662:220–46.
Adams, D. H., and S. Chandrasekharan. “CHIRAL LIMIT OF STRONGLY COUPLED LATTICE GAUGE THEORIES.” Nucl. Phys. B, vol. 662, 2003, pp. 220–46.
Adams DH, Chandrasekharan S. CHIRAL LIMIT OF STRONGLY COUPLED LATTICE GAUGE THEORIES. Nucl Phys B. 2003;662:220–246.

Published In

Nucl. Phys. B

Publication Date

2003

Volume

662

Start / End Page

220 / 246

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics